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A test scoring machine is known to record an incorrect grade

A test-scoring machine is known to record an incorrect grade on 5% of the exams it grades. Find, by the appropriate method, the probability that the machine records

a. exactly 3 wrong grades in a set of 5 exams.

b. no more than 3 wrong grades in a set of 5 exams.

c. no more than 3 wrong grades in a set of 15 exams.

d. no more than 3 wrong grades in a set of 150 exams.

a. exactly 3 wrong grades in a set of 5 exams.

b. no more than 3 wrong grades in a set of 5 exams.

c. no more than 3 wrong grades in a set of 15 exams.

d. no more than 3 wrong grades in a set of 150 exams.

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